# Lecture Plan

The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.

Lectures Sections in Text Description Practice Problems
Monday
September 16
1.1, 1.2 What are differential equations?
DirectionFields.nb
§1.1: #1, 2, 26
§1.2: # 1(a), 2(a)
KA - Differential equations intro
KA - Slope fields & equations
Plotting slope fields and trajectories
Wednesday
September 18
1.3, 2.1 Classification and linear first-order ODEs
DirectionFields2.nb
§2.1: #1, 9, 12
Friday
September 20
2.2, 2.4 Separable equations and existence-uniqueness theorems.
DirectionFields3.nb
§2.2: #9, 11
§2.4: #3, 7, 11
KA - Separable equations
KA - Exponential model equations
Monday
September 23
2.3 Modeling with differential equations
MixingPlot.nb , WorksheetSlopeFields.nb
§2.3: Solve the IVPs in Examples 2 and 3
§2.3: #9, 10
KA-Write differential equations
Wednesday
September 25
2.5 Autonomous equations and population dynamics §2.5: #9, 23
Review multivariable chain rule
KA - Slope fields & solutions
Friday
September 27
2.6 Exact equations
LastExamplePlot.nb
§2.6: #23, 26, 30, 31
Monday
September 30
3.1, 3.2 Second order constant coefficient equations
with distinct roots; the Wronskian
§3.1: #2, 4
§3.2: #2, 4, 14
Tuesday October 1
7:00 - 9:00pm, Location: Rockefeller 001
1st Midterm 1st Midterm:material through 3.1. Past exams
Wednesday
October 2
3.3 Complex conjugate roots
SolutionPlots.nb
§3.2: # 25
§3.3: # 2, 16, 24
Friday
October 4
3.4 Repeated roots and reduction of order §3.4: # 2, 16, 24
Monday
October 7
3.5, 3.6 Method of undetermined coefficients; Variation of parameters §3.5: #5, 19
§3.6: #9, 13
Wednesday
October 9
7.1, 7.2 Review of matrices.
Demo
§7.1: #10, 14
Friday
October 11
7.3, 7.4 Systems of ODEs; Existence and uniqueness of solutions of systems of ODEs. §7.3: #17, 18
§7.4: #6
Monday
October 14
7.5 Constant coefficients systems with distinct real eigenvalues
Example2Plots.nb, Example3Plots.nb, EigenManipulate.nb
§7.5: #3, 12
Wednesday
October 16
7.6 Constant coefficient systems with complex conjugate eigenvalues
ComplexEigenPlot.nb
§7.6: #2, 6
Friday
October 18
7.8 Repeated Eigenvalues §7.8: #1, 18
Monday
October 21
7.8 & 9.1 Repeated eigenvalues; Phase plane; linear systems §9.1: #1, 8
Tuesday October 22
7:00 - 9:00pm, Location: Rockefeller 001
2nd Midterm 2nd Midterm
Material from 3.3 through 7.8.
Past exams
Wednesday
October 23
9.1; begin 7.9. Phase Plane; Linear Systems §9.1: # 1, 8
Friday
October 25
7.9 Nonhomogeneous Linear Systems §7.9: # 1, 3, 15
Monday
October 28
9.2 Autonomous Systems and Stability §9.2: # 1, 3, 5
Plotting slope fields and trajectories
Direction field plotter
Wednesday
October 30
9.3 9.4 Locally Linear Systems §9.3: # 1, 3, 5
Friday
November 1
9.4 and 9.5 Competing Species and Predator-Prey Equations §9.4: # 1, 8 §9.5: # 1, 3, 11
Monday
November 4
6.1, 6.2 Laplace Transform and the IVP KA: Laplace transform intro
KA: Properties of the Laplace transform
KA: Laplace transform to solve a differential equation
Wednesday
November 6
6.3 IVPs and Step functions KA: Laplace/step function differential equation
Friday
November 8
6.4, 6.5 Discontinuous forcing functions, Impulse Functions KA: The convolution integral
Monday
November 11
6.6 The convolution integral §6.6: # 9, 13 KA: The convolution integral
Wednesday
November 13
Course Wrap Up
Friday
November 15
Course wrap up
Monday
November 19
Course wrap up Course instruction ends.
Friday
November 22
Location: TBD
11:30 am Final
The exam is cumulative and covers material from the whole term.
Past exams